11464642263456 has 288 divisors, whose sum is σ = 34150642606080. Its totient is φ = 3783185554176.

The previous prime is 11464642263401. The next prime is 11464642263457. The reversal of 11464642263456 is 65436224646411.

11464642263456 is a `hidden beast` number, since 1 + 1 + 464 + 64 + 22 + 63 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11464642263457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461174355 + ... + 461199213.

It is an arithmetic number, because the mean of its divisors is an integer number (118578620160).

Almost surely, 2^{11464642263456} is an apocalyptic number.

11464642263456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11464642263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075321303040).

11464642263456 is an abundant number, since it is smaller than the sum of its proper divisors (22686000342624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11464642263456 is a wasteful number, since it uses less digits than its factorization.

11464642263456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25478 (or 25458 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 11464642263456 in words is "eleven trillion, four hundred sixty-four billion, six hundred forty-two million, two hundred sixty-three thousand, four hundred fifty-six".